Generalised quantum anharmonic oscillator using an operator ordering approach

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dc.creatorPathak, Anirban
dc.date2002-06-02
dc.date.accessioned2026-07-07T04:29:14Z
dc.date.available2026-07-07T04:29:14Z
dc.descriptionWe construct a generalised expression for the normal ordering of (a+a^{\dagger})^{m} for integral values of m and use the result to study the quantum anharmonic oscillator problem in the Heisenberg approach. In particular, we derive generalised expressions for energy eigen values and frequency shifts for the Hamiltonian H=\frac{x^{2}}{2}+\frac{\dot{x}^{2}}{2}+\fracλ{m}x^{m}. We also derive a closed form first order multi scale perturbation theoretic operator solution of this Hamiltonian with a view to generalise some recent results of Bender and Bettencourt .
dc.description9 pages, latex 2e, no figure Journal Reference: J. Phys. A 33 (2000) 5607-5613
dc.identifierhttps://arxiv.org/abs/math-ph/0206001
dc.identifierhttp://arxiv.org/abs/math-ph/0206001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57078
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleGeneralised quantum anharmonic oscillator using an operator ordering approach
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